TS EAMCET 5 May 2018 Shift 2 Solved Paper

Consider the given equation of hyperbola.
3x2−y2=3

x2

1

−

y2

3

=1
The equation of tangent passing through the hyperbola is,
y=mx±√m2−3
The tangent is parallel to line y=2x+4
Therefore, they have equal slope.
Hence,
y=2x±√4−3
y=2x±1
Therefore, required distance between the tangent is,
Distance =

|1+1|

√22+(−1)2

=

2

√5